Everyone realizes that. We're past relying on the First Amendment argument.
Based on some of the posts in this thread, I disagree.
You can only pull the "They're a private entity - just choose not to do business with them" card until they're large enough to the point were you don't have an option (free market forces stop working), at which point regulators generally step in.
The first amendment law protects the principle. It doesn't create it. While these hosts might not be in violation of any law, they are absolutely acting contrary to the principle of free speech.
Are they also free to only do business with people of certain races? The "private enterprises" line lost its punch about 50 years ago.
How can people be this ignorant of recent history?
On the other side, as long 8chan did nothing illegal, they shouldn't shutdown 8chan. If 8chan did something illegal, then for this we have the whole justice system.
If people think 8chan does something bad, but is not illegal .. then people should vote to change the law.
If private company's start to play the police .. it does end in a disaster. Special since today's web is a winner takes it all model. If you felt out of Youtube .. yeah, just bad for you. Apple credit card .. yeah, you can buy just almost everything .. yeah, bright future ..
Flipping the issue, wouldn't my freedom be violated if I was forced to serve someone that I do not want to?
But if feel it's a bad move just to throw 8chan out because "it is rainy today".
My point was more, we start to privatize all services. From Internet to money to .. whatever. For me it's just wrong if the private companys start to act instead the justice. That's my real point. There is a justice system and they just should do the job.
That is the danger of centralisation; when they remove their service, it feels as if your rights has been violated because (a) you have been so used to them (b) you cannot exist without them practically.
Now imagine it resurrecting on IPFS/Dat/..., where every visitor could "pin" the website.